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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1
Let OO be the origin, A(1,0)A(1,0) and B(0,1)B(0,1) and P(x,y)P(x, y) are points such that xy>0x y > 0 and x+y<1x+y < 1, then
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Correct option: A
PP lies either inside the triangle OABO A B or in the third quadrant
The correct answer is that PP lies either inside the triangle OABOAB or in the third quadrant because xy>0xy > 0 implies PP is in the first or third quadrant, and x+y<1x + y < 1 restricts PP to below the line x+y=1x + y = 1.

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